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Finding the Third Proportional to 503,121 and 752,686

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Solution

The third proportional to 503,121 and 752,686 is: 1,126,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,121 : 752,686 = 752,686 : x
  2. Step 2: Convert to fraction form
    503,121/752,686 = 752,686/x
  3. Step 3: Cross multiply
    503,121x = 752,686 × 752,686
  4. Step 4: Simplify right side
    503,121x = 566,536,214,596
  5. Step 5: Solve for x
    x = 566,536,214,596/503,121
  6. Step 6: Final answer
    x = 1,126,043.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.